Monotone and Economical Difference Schemes on Nonuniform Grids for a Multidimensional Parabolic Equation with Third Kind

Verfasser / Beitragende:
Matus, Piotr; Martsynkevich, Grigorii
Ort, Verlag, Jahr:
2004
Enthalten in:
Computational Methods in Applied Mathematics, 4/3(2004), 350-367
Format:
Artikel (online)
ID: 378936425
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024 7 0 |a 10.2478/cmam-2004-0019  |2 doi 
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245 0 0 |a Monotone and Economical Difference Schemes on Nonuniform Grids for a Multidimensional Parabolic Equation with Third Kind  |h [Elektronische Daten] 
520 3 |a Monotone economical difference schemes of the second order of local approximation with respect to space variables on nonuniform grids for the heat con- duction equation with the boundary conditions of the third kind in a p-dimensional parallelepiped are constructed. The a priori estimates of stability and convergence of the difference solution in the norm C are obtained by means of the grid maximum principle. 
540 |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. 
690 7 |a maximum principle  |2 nationallicence 
690 7 |a monotone scheme  |2 nationallicence 
690 7 |a local one dimensional scheme  |2 nationallicence 
690 7 |a third boundary-value problem  |2 nationallicence 
690 7 |a heat conduction equation  |2 nationallicence 
690 7 |a nonuniform grid  |2 nationallicence 
700 1 |a Matus  |D Piotr  |u Department of Mathematics, Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. 
700 1 |a Martsynkevich  |D Grigorii  |u Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. 
773 0 |t Computational Methods in Applied Mathematics  |d De Gruyter  |g 4/3(2004), 350-367  |x 1609-4840  |q 4:3<350  |1 2004  |2 4  |o cmam 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Matus  |D Piotr  |u Department of Mathematics, Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Martsynkevich  |D Grigorii  |u Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus 
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